Victor Kowalenko

ON A FINITE SUM WITH POWERS OF COSINES

CM da Fonseca, Victor Kowalenko

Journal article  |  2013  |  APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS

A formula for the finite sum of powers of cosines with fractional multiples of π/2, viz., where m and n are arbitrary positive int..

On a Finite Sum Involving Inverse Powers of Cosines

Victor Kowalenko

Journal article  |  2011  |  ACTA APPLICANDAE MATHEMATICAE

A finite sum Sm,v involving inverse powers of cosines has been studied previously by Fisher, who was able to solve the v = 1 and v..

Applications of the Cosecant and Related Numbers

Victor Kowalenko

Journal article  |  2011  |  ACTA APPLICANDAE MATHEMATICAE

Power series expansions for cosecant and related functions together with a vast number of applications stemming from their coeffic..

Euler and Divergent Series

V Kowalenko

Journal article  |  2011  |  European Journal of Pure and Applied Mathematics

Euler and Divergent Mathematics - Part 1, Part2, Part 3, Part 4, Part 5

V Kowalenko

Book Chapter  |  2011

Properties and Applications of the Reciprocal Logarithm Numbers

Victor Kowalenko

Journal article  |  2010  |  ACTA APPLICANDAE MATHEMATICAE

Via a graphical method, which codes tree diagrams composed of partitions, a novel power series expansion is derived for the recipr..

Further properties of a magnetised Maxwellian plasma

V KOWALENKO

Book Chapter  |  2010

Generalizing the Reciprocal Logarithm Numbers by Adapting the Partition Method for a Power Series Expansion

Victor Kowalenko

Journal article  |  2009  |  ACTA APPLICANDAE MATHEMATICAE

Recently, a novel method based on the coding of partitions was used to determine a power series expansion for the reciprocal of th..

Landau damping, Stokes phenomenon and the weakly magnetized Maxwellian plasma

V Kowalenko

Journal article  |  2005  |  PHYSICS LETTERS A

The dispersion relation for longitudinal oscillations in a weakly magnetized Maxwellian plasma is evaluated via a novel asymptotic..

Exactification of the asymptotics for Bessel and Hankel functions

V Kowalenko

Journal article  |  2002  |  APPLIED MATHEMATICS AND COMPUTATION